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math.CT 1

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2026 1

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Invertibility and parity in symmetric monoidal categories

math.CT · 2026-04-16 · unverdicted · novelty 6.0

A parity concept for invertible morphisms yields a coherence theorem in symmetric monoidal categories, with the free permutative category on an invertible generator equivalent to the super integers via ±1.

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  • Invertibility and parity in symmetric monoidal categories math.CT · 2026-04-16 · unverdicted · none · ref 37

    A parity concept for invertible morphisms yields a coherence theorem in symmetric monoidal categories, with the free permutative category on an invertible generator equivalent to the super integers via ±1.